Analytics study on the problem of two holes having arbitrary shapes and arrangements in plane elastostatics

By using Schwarz alternating method, this paper presents a simplified alter nating algorithm for the problems of two holes having arbitrary shapes and arrangements in an isotropic homogeneous linear elastic infinite region, an d obtains stress and displacement fields for random times of iteration. Aft er precision analysis it is found that the results for twenty times of iter ation are of very high precision, and those with higher precision can be ac quired if the iteration solving is further conducted. The comparison of the results from FEM further proves the reliability of the simplified alternat ing algorithm presented by this paper.